Corrigendum to "Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions"
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929315867787264 |
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| author | Ciosmak, Krzysztof Jan |
| author_facet | Ciosmak, Krzysztof Jan |
| contents | In [K.J. Ciosmak, Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions, Nonlinear Anal. 232 (2023), Paper No. 113267, 32 pp.], Theorem 2.3. does not suffice for its applications. We strengthen Theorem 2.1. and Theorem 2.3., so that they imply their claimed consequences. Moreover, we correct a minor flaw in the proof of Proposition 2.4.. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_10797 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Corrigendum to "Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions" Ciosmak, Krzysztof Jan Functional Analysis Optimization and Control Probability Primary 46A55, 49N15, 26B25, Secondary 60G42, 90C46, 49N05, 47H05 In [K.J. Ciosmak, Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions, Nonlinear Anal. 232 (2023), Paper No. 113267, 32 pp.], Theorem 2.3. does not suffice for its applications. We strengthen Theorem 2.1. and Theorem 2.3., so that they imply their claimed consequences. Moreover, we correct a minor flaw in the proof of Proposition 2.4.. |
| title | Corrigendum to "Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions" |
| topic | Functional Analysis Optimization and Control Probability Primary 46A55, 49N15, 26B25, Secondary 60G42, 90C46, 49N05, 47H05 |
| url | https://arxiv.org/abs/2404.10797 |